Strict Mittag-Leffler Conditions and Gorenstein Modules

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作者
Yanjiong Yang
Xiaoguang Yan
Xiaosheng Zhu
机构
[1] Nanjing University,Department of Mathematics
[2] Nanjing Xiaozhuang University,School of Mathematics and Information Technology
[3] Taizhou University,Department of Mathematics
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关键词
Mittag-Leffler condition; Gorenstein module; Tilting module; Cotorsion pair; Direct limit; 13D02; 13D07; 13E05; 16D10; 16D80; 16D90;
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摘要
In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we investigate when Gorenstein projective modules are Gorenstein flat by employing tilting modules and cotorsion pairs. Finally, we study the direct limits of Gorenstein projective modules.
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页码:1451 / 1466
页数:15
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